1. Extra Lesson Greatest Common Factor and Least Common Multiple of Monomials Essential Question: How do you find the greatest common factor and least common multiple of monomials?

2. Before we start…

3. What is a factor? Any whole number that can be divided exactly into another number. 1, 2, 3, and 6 are factors of 6.

4. What is a common factor? A whole number that is a factor of two or more nonzero whole numbers. 3 is a common factor of 3, 6, 9 and 12.

5. What is the greatest common factor (GCF)? The greatest common factor (GCF) is the greatest of the common factors. – It’s the highest number factor that appears in each number’s factor list. 12 has the factors: 1, 2, 3, 4, 6 and 12. 16 has the factors: 1, 2, 4, 8 and 16. – The GCF of 12 and 16 would be 4.

6. How do you find a GCF of monomials? Write the prime factorization of each number. Circle the smallest power of each factor. Find the product of your circled factors. Your product is the GCF.

12. What is a multiple? The product of the number and any nonzero whole number. A common multiple is a multiple that is shared by two or more numbers.

13. What is a least common multiple? A least common multiple (LCM) is the least common multiples of two or more whole numbers. – It’s the smallest answer that two numbers share.

14. How do I find the LCM of monomials? Write the prime factorization of each number. Circle the greatest power of each prime factor. Find the product of the circled factors. This is your LCM.

21. How do you find the greatest common factor and least common multiple of monomials?

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